Aerodynamic instability and disintegration of inviscid liquid sheets
- 12 September 1972
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 329 (1579) , 467-478
- https://doi.org/10.1098/rspa.1972.0124
Abstract
A second order analysis has been made of the aerodynamic growth of sinuous waves on parallel sided inviscid liquid sheets and equations have been derived which describe the characteristics of the fundamental mode and the first harmonic. A solution has been obtained for the case where the wavelengths are relatively long compared with the sheet thickness and it is found that thinning of the sheet is caused by the growth of the harmonic wave, maximum thinning and subsequent rupture occurring at positions corresponding to 3/8 and 7/8 of the length of the fundamental wave. The solutions have been utilized to calculate the break-up lengths of attenuating sheets and the results are compared with measured values.This publication has 3 references indexed in Scilit:
- Entrainment of air into a liquid sprayAIChE Journal, 1966
- The dynamics of thin-sheets of fluid. I. Water bellsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1959
- Investigation of the instability of a moving liquid filmBritish Journal of Applied Physics, 1953